Solving for x in a given polynomial equation “ax2 + bx + c =0”, can be solved by factoring the equation.
Another way is by using Quadratic formula, where it is derived in the process of completing the square.
Thus, $$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$
where x = solutions of the equation
a, b, c = numerical coefficient
Example:
Solve for x using Quadratic Formula given : 6x2 + 11x - 35 = 0
Solution:
$$x_{1}=\frac{-(11)+\sqrt{((11^2)-4(6)(-35))}}{2(6)}=\frac{5}{3}$$
$$x_{2}=\frac{-(11)-\sqrt{((11^2)-4(6)(-35))}}{2(6)}=-\frac{7}{2}$$
by Microchip
by Jake Hertz
